A REMARK ON SCHRODINGER-OPERATORS ON APERIODIC TILINGS

We prove that for a large class of Schrodinger operators on aperiodic tilings the spectrum and the integrated density of states are the same for all tilings in the local isomorphism class, i.e., for all tilings in the orbit closure of one of the tilings. This generalizes the argu ment in earlier work from discrete strictly ergodic operators on l(2)( Z(d)) to operators on the l(2)-spaces of sets of vertices of strictly ergodic tilings.